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Finding the Fourth Proportional to 8,002.01, 11,995.75 and 2,805.05

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Solution

The fourth proportional to 8,002.01, 11,995.75 and 2,805.05 is: 4,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.01 : 11,995.75 = 2,805.05 : x
  2. Step 2: Convert to fraction form
    8,002.01/11,995.75 = 2,805.05/x
  3. Step 3: Cross multiply
    8,002.01x = 11,995.75 × 2,805.05
  4. Step 4: Simplify right side
    8,002.01x = 33,648,611.55
  5. Step 5: Solve for x
    x = 33,648,611.55/8,002.01
  6. Step 6: Final answer
    x = 4,205.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.